Draw a number line of each quadratic inequality
1. x²- x + 2 ≤ 0
2. x² + 7x + 12 ≥ 0
3. x² + 9x + 18 ≤ 0
4. m² - 7m ≤ 10
5. 2x²- 3x - 14 ≤ 0
Answers
Answer:
The first equation does not have any, as x^2 always makes the values postive, which causes it to always be greater than 0.
Step-by-step explanation:
The second inequality is x is less than or equal to 4, and greater than or equal to negative 3.
The third inequality is x is greater then or equal to negative 6, and less than negative 3.
The fourth inequality was a bit strange, it gave results that were difficult to graph. However, it seems m is less than or equal to negative 1.2, and greater than or equal to 8.2.
The fifth inequality is x is greater than or equal to negative 2, and less than or equal to 7/2.
Hope this helps!
Related Questions
Alberto has $2.25 in dimes and nickels in his pocket. He has nine more nickels than dimes. How many of each type of coin does he have?
I really need help!
Answers
Alberto has 12 Dimes and 21 Nickels in his pocket.
How many of each type of coin does he have?Dimes value = 0.10$
Nickels value = 0.05$
Let d = number of dimes = 0.10d
Let d+9 = number of nickels = 0.05(d + 9)
Value of the Dimes + Value of the Nickels = total value of the coins
Write the equation:
0.10d + 0.05(d + 9) = 2.25
Distribute:
0.10d + 0.05d + 0.45 = 2.25
0.15d + 0.45 = 2.25
Subtract 0.45 from each side:
0.15d = 1.80
Divide to find the number of dimes.
d = 12
The number of nickels is d +9 = 12 + 9 = 21
Alberto has $2.25 in dimes and nickels in his pocket. He has 12 Dimes and 21 Nickels in his pocket.
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Select the correct answer. Graph the following system of inequalities.
y <2x+1
y<-x-1
A. X
B. Z
C. W
D. Y
Answers
This is because it makes both of the inequalities true
The graph of the inequalities y <2x+1 and y<-x-1 will be shown by graph x. The correct option is A.
What is inequality?The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to, > ‘greater than, or < ‘less than. A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.
The inequality functions are y <2x+1 and y<-x-1. When we plot the graph of the functions we can see that the two lines intersect at the point ( -1, 0 ) and overlap below the function.
The graph of the functions is y <2x+1 and y<-x-1 is attached with the answer below.
Therefore, the graph of the inequalities y <2x+1 and y<-x-1 will be shown by graph x. The correct option is A.
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Can someone help me with this, please?
Answers
Answer:
-2x = 4
Step-by-step explanation:
You have 2 negative x tiles on the left side, which is -2x.
You have 4 one tiles on the right side, which is 4.
Hope this helps!
(4, 7); y = 3x + 6 plz help me
Answers
y=3x+6.
y=3x-5
I did it with a parallel line
I’m wondering if this is a polygon
Answers
Answer:
They don't need to have parallel lines or right angles. If you think about that, it means that a triangle is a polygon. So are squares, rectangles and, yes, quadrilaterals, parallelograms and trapezoids. They all are closed shapes with many sides, so they're all polygons!
Have a great day!
Brainliest please :)
If two numbers are 10 apart, is it likely that their square roots are also 10 apart?
b) How far apart are the square roots of numbers that are 10 apart likely to be?
pls no links!<3 thanks:)
Answers
Answer:
yea that's about right. like the square root of 100 would be 10 and the square root of 90 would be about 9.5 dose that make since?
Yes, it is likely that their square roots are also 10 apart because the square root of 100 is 10.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.
It is given that:
If two numbers are 10 apart.
As we know,
The square root of 100 is 10
√100 = 10
Let us assume the number 90 which is near the 100
The square root of the number 90 is 9.48 which is near or after rounding:
√90 = 9.5
Thus, yes it is likely that their square roots are also 10 apart because the square root of 100 is 10.
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The other question is in the picture
Activity 2: of Directions: Write T before each item if the statement is TRUE, otherwise write F.
For items 1-2: Use the problem below to answer the following questions.
Your mother invested PhP 10,000.00 in an investment institution at 5% compounded semi-annually for x years.
___1. y = 10 000(1.025)2x is the function that represents mother's total investment
Answers
Using compound interest, it is found that the correct options are:
1. True.
2. True.
Compound interest:
[tex]A(x) = P\left(1 + \frac{r}{n}\right)^{nx}[/tex]
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. x is the time in years for which the money is invested or borrowed.Item 1:
Invested 10000, hence [tex]P = 10000[/tex].Semi-annually, hence [tex]n = 2[/tex].Interest rate of 5%, hence [tex]r = 0.05[/tex]Then:
[tex]A(x) = P\left(1 + \frac{r}{n}\right)^{nx}[/tex]
[tex]A(x) = 10000\left(1 + \frac{0.05}{2}\right)^{2x}[/tex]
[tex]A(x) = 10000(1.025)^{2x}[/tex]
Hence option 1 is True.
Item 2:
Quarterly, hence [tex]n = 4[/tex].Then:
[tex]A(x) = P\left(1 + \frac{r}{n}\right)^{nx}[/tex]
[tex]A(x) = 10000\left(1 + \frac{0.05}{4}\right)^{4x}[/tex]
[tex]A(x) = 10000(1.0125)^{4x}[/tex]
Hence option 2 is also True.
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The line passing through which two points is perpendicular to the line 10x + 2y = 2?
A.) (-2, -7) and (1, 8)
B.) (-5, 5) and (0, 4)
C.) (0,-9) and (5, -8)
D.) (-4, 12) and (-2,2)
E.) (-2, 11) and (1, -4)
Answers
Considering the definition of perpendicular line, the correct option is option C): the line passing through (0,-9) and (5, -8) is perpendicular to the line 10x + 2y = 2.
Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.
m is the slope.
b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.
Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope m of said line can be calculated using the following expression:
m= (y₂ - y₁)÷(x₂ - x₁)
Perpendicular linePerpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.
Perpendicular line in this caseIn this case, the line is 10x + 2y=2. Expressed in the form y = mx + b, you get:
2y=2 - 10x
y= (-10x +2)÷ 2
y= -10/2x +2/2
y= -5x +1
The line has a slope of -5. If you multiply the slopes of two perpendicular lines, you get –1, you get:
-5× slope perpendicular line= -1
slope perpendicular line= (-1)÷ (-5)
slope perpendicular line= 1/5
The line through two points must have a slope equal to 1/5. So you calculate the slope of each line that passes through two points as follows:
(x₁, y₁)= (-2, -7) and (x₂, y₂)= (1, 8): m= (8 - (-7))÷(1 - (-2)) → m= (8+7)÷ (1+3) → m= 15÷4= 15/4(x₁, y₁)= (-5, 5) and (x₂, y₂)= (0, 4): m= (4- 5)÷(0 - (-5)) → m= (-1)÷ (0 + 5) → m= -1÷5= -1/5(x₁, y₁)= (0, -9) and (x₂, y₂)= (5, -8): m= (-8 - (-9))÷(5 - 0) → m= (-8+9)÷ (5) → m= 1÷5= 1/5(x₁, y₁)= (-4, 12) and (x₂, y₂)= (-2, 2): m= (2 - 12)÷(-2 - (-4)) → m= (-10)÷ (-2+4) → m= -10÷2= -5(x₁, y₁)= (-2, 11) and (x₂, y₂)= (1, -4): m= (-4 -11)÷(1 - (-2)) → m= (-15)÷ (1+2) → m= -15÷3= -5Since the perpendicular line must have a slope equal to 1/5, the line passing through (0,-9) and (5, -8) is the correct line.
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purchased two candles from Target. The first candle has a height of 10 inches and burns at a rate of 3 inches per hour. The second candle has a height of 8 inches and burns at a rate of 2 inches per hour. After how many hours will both candles be at the same height?
Answers
Answer:
In 2 hours
Step-by-step explanation:
10/3 8/2
10-6 = 4
6 from 3*2(aka the hours)
8-4 = 4 from 2*2(aka the hours)
you can also set this up like
10-3x=8-2x and solve for it
Answer: At the 2 hour mark.
Step-by-step explanation:
10-3=7. 7-3=4
8-2=6. 6-2=4
10x + 44
8x - 23
It’s solving for X in triangles
Answers
Answer:
x=33.5
Step-by-step explanation:
eleven less than twice a number is 17 more than four times the number
Answers
Let's take the missing number as 'x'.
11 less than twice a number = 11 - 2x
17 more than 4 times the number = 17 + 4x
=》 11 - 2x = 17 + 4x
=》 11 - 17 = 4x + 2x
=》 -6 = 6x
=》 -6/6 = x
=》 -1 = x
______
RainbowSalt2222 ☔
Solve the math problem
Answers
Answer:
1 -66
2. 162
3.11/-2
4. 8/-11
5.12/0
6. 0
7. 15/14
8. 2/-5
Step-by-step explanation:
The domain for f(x) is all real numbers ___ than or equal to 2
Answers
Step-by-step explanation:
f(x) = 2x² + 5√(x - 2)
Domain
√(x - 2) ≥ 0
x - 2 ≥ 0
x ≥ 2
x is greater than or equal to 2
Answer: Greater than
Step-by-step explanation:
Find the value of x that makes p and q
Answers
Answer:
14)
[tex]{ \rm{(5x - 9) \degree + (2x) \degree = 180 \degree}} \\ { \tt{ \{straight \: line \: angles \}}} \\ { \rm{7x - 9 = 180}} \\ { \rm{7x = 189}} \\ { \boxed{ \mathfrak{answer :{ \rm{ \: \: x = 27}} }}}[/tex]
15)
[tex]{ \rm{63 \degree + (9x + 36) \degree = 180 \degree}} \\ { \rm{9x + 99 = 180}} \\ { \rm{9x = 81}} \\ { \boxed{ \mathfrak{answer : \: \: { \rm{x = 9}}}}}[/tex]
[tex]{ \underline{ \mathfrak{ \green{Good \: grace}} \: \:⚜ \: \: { \blue{ \mathfrak{Good \: God}}}}}[/tex]
Jessica and her family bought 5 tickets to a
music concert. Tickets for adults cost $5.10 and
tickets for children cost $3.60. Jessica and her
family spent a total of $21. How many tickets
for adults (a) and how many tickets for children
(c) did they buy?
a + c = 5
5.1a + 3.6C = 21
[?] adults [ ] children
Answers
Step-by-step explanation:
work is shown and pictured
Find the ratio as simply as possible in the form a : b.
[tex]3 \frac{1}{2} : 1 \frac{1}{7} [/tex]
Answers
_________
[tex] \: [/tex]
[tex]3 \frac{1}{2} : 1 \frac{1}{7} [/tex]
[tex] = \frac{3 \frac{1}{2} }{1 \frac{1}{7} } [/tex]
[tex] = \frac{ \frac{7}{2} }{ \frac{8}{7} } [/tex]
[tex] = \frac{7}{2} \times \frac{7}{8} [/tex]
[tex] = \frac{49}{16} [/tex]
[tex] = 49 : 16[/tex]
1/2 divided by 1 3/7
Answers
Answer:
7/20
Step-by-step explanation:
1/2 divided by 1 3/7
Keep Change Flip
1 3/7=10/7
1/2 x 7/10 = 7/20
Here is a linear equation: y = 1/4x + 2 What is the x-intercept of the graph of the equation?
Answers
Answer:
(−8,0)
Step-by-step explanation:
The x- intercept is (-8, 0)
What is Intercept?A line's slope and intercept give information on its steepness and the point at which it crosses an axis, respectively. The linear relationship between two variables is defined by the slope and intercept, which can be used to calculate the average rate of change.
Given:
Equation: y= -1/4 x + 2
Now, for x- intercept take y= 0
So, 0 = 1/4x + 2
1/4x = -2
x= -8
Hence, the x- intecrcept is (-8, 0)
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find the slope of the line that passes through the points
Answers
y=-4(x+2)(x-8) rewritten in standard form
Answers
Answer:
y = x + 40
Step-by-step explanation:
I'm assuming to simplify this.
Use the distribution property first.
y = -4x - 8 · 4x + 32
Combine like terms.
y = x · 8 + 32
Solve.
y = x + 40
Hope this this helps!
What is the slope of the line on the graph?
Enter your answer in the box.
Answers
Answer:
I think this is the answer you are looking for. (See below)
Step-by-step explanation:
From the given graph it is noticed that the line is passing through many points.
The coordinates of three given points are (1,5), (-1,-1), (-1,-7)
If a line passing through two points (x1 ,y1) and (x2, y2) , the slope of the lie is defined by, m= y2 - y1/x2 - x1
The line passing through two points (-1,1) and (1,5). So the slope of the line is, m= 5 - 1 / 1 minus -1
m=4/2
Therefore, the slope of the line is 2.
Pls if this is wrong, let me know in the comments. I'm not really good at this topic in math but I hope it helps you. Sorry if it is wrong. Have a good day. :)
U+t=7
Ut=12
Solve simultaneously using formula method
Answers
Answer:
U= 10 or 11 T=-4 or-3
Step-by-step explanation:
solved using substitution not sure what the formula method is
U+T=7
UT=12
U=12/t
12/t+t=7
12/t=7-t
12=7t-t^2
t^2+7t+12=0
(t+4)(t+3)
t=-4, -3
u-4=7
u=11
u-3=7
u=10
help please i don’t understand
Answers
Answer:
567
Step-by-step explanation:
you gotta keep dreaming multiply the 6 then the 5
Question
The dimensions of a sports pennant are given in the diagram. Find the values of x and y.
Answers
Answer:
x= 79° y= 22°
Step-by-step explanation:
x is the same as 79
79+79= 158
180° in a triangle
180-158= 22°
Caleb has 3 apples and he loses 1 apple how many apples does Caleb have?
Answers
Answer:
2 apples
Step-by-step explanation:
he should be more careful next time :)
Triangle EFG is dilated by a scale factor of \frac{2}{3}
3
2
to form triangle E'F'G'. What is the measure of side FG?
Answers
Answer:
B. 36°
Step-by-step explanation:
Dilation does not change the angle measures or the direction of the lines. Angle F is the same as corresponding angle F'.
Please help me with these problems!
Answers
Answer:
143880000 people have dogs and b.
Step-by-step explanation:
327,000,000 * .44(44 percent) = 143880000
the sample of 437 is much smaller than the entire state of texas, so it is incorrect to assume that the small amount of people is representative of the entire state.
Answer:
Step-by-step explanation:
3)
327 Million → 100%
x → 44%
100x = 44×327
100x = 14388
x = 14388/100
x = 143.88 Million people
4) D
I hope I've helped you.
What is - 1+12 Give your answer as a fraction in its simplest form.
Answers
Step-by-step explanation:
as u can use the rules of numbers u can realize -1+12=12-1=11
Answer:
-
Step-by-step explanation:
-1+12
=12-1
=11
:)
a number of students are standing in a circle. they are evenly spaced and the fith student is directly opposite the eleventh student. how many students are there all together
Answers
Answer:
There would be 12
Step-by-step explanation:
The measures of the angles of a triangle are shown in the figure below. Solve for x.
(6x+20)
(7X-10)
105
Answers
Answer:
x = 5
Step-by-step explanation:
Angles in a triangle = 180°
(6x + 20) + (7x - 10) + 105 = 180°
13x + 10 +105 = 180
13x + 115 = 180
-115 = -115
13x = 65
x = 65/13
x = 5
